Mathematics 31 Online
OpenStudy (anonymous):

any1 remember the trapazoid and simpsons rule for integrals??

OpenStudy (anonymous):

Trapezoidal rule is: A method of finding an approximate value for an integral, based on finding the sum of the areas of trapezia. Suppose we wish to find an approximate value for ∫ab f(x)dx. The interval a≤x≤b is divided up into n sub-intervals, each of length h=(b − a)/n, and the integral is approximated by ½h(y0+2y1+2y2+...+2yn−1+yn),where yr=f(a+rh). This is the sum of the areas of the individual trapezia, one of which is shown in the diagram. The error in using the trapezium rule is approximately proportional to 1/n2, so that if the number of sub-intervals is doubled, the error is reduced by a factor of 4.

OpenStudy (anonymous):

Simpson Rule is: Also known as parabolic rule. A basic approximation formula for definite integrals which states that the integral of a real-valued function ƒ on an interval [a,b] is approximated by h[ƒ(a) + 4ƒ(g + h) + ƒ(b)]/3, where h = (b - a)/2; this is the area under a parabola which coincides with the graph of ƒ at the abscissas a, a + h, and b. A method of approximating a definite integral over an interval which is equivalent to dividing the interval into equal subintervals and applying the formula in the first definition to each subinterval.

OpenStudy (anonymous):

thanks!

Latest Questions
PureSoulless: How does smartcore on this site work?
42 minutes ago 2 Replies 10 Medals
KimberlyOFFICAL: pedo
6 hours ago 1 Reply 0 Medals
KimberlyOFFICAL: leo gang
6 hours ago 18 Replies 2 Medals
KimberlyOFFICAL: this is my beautiful Ai daughter
8 hours ago 28 Replies 2 Medals
Breathless: bro if I answer 19 answers correctly I can get to 75 True or false?
9 hours ago 8 Replies 4 Medals
Bones: It's finished lmk what y'all think
3 hours ago 12 Replies 1 Medal